What is 66.8 as a fraction?
66.8 as a fraction is 668/10 and its simplest form is 334/5.
Learn how to find what is 66.8 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 66.8 in its equivalent fraction form. It is required to recognize the decimal point 66.8 as 668 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 66.8 as a fraction and how it can be found easily.
Summary: 66.8 in fraction form
66.8 can be recognized as 668 tenths, which can be represented as 668/10 in fraction form. The simplest form of 668/10 is 334/5. Therefore, 66.8 as a fraction is 334/5.
Write 66.8 as a fraction in simplest form.
66.8 = (?)
66.8 = 66.8/1
= (66.8/1) x (10/10) //66.8 can be recognized as 668 tenths.
= 668/10 //668 tenths is equal to 668/10 and it can be simplified further.
= (668/2)/(10/2) //2 is the GCF of 668 and 10. Divide both 668 and 10 by the GCF 2 to simplify the fraction.
= 334/5
66.8 = 334/5
66.8 in its simplest fraction form is 334/5.
So, what is the fraction of 66.8?
It is 668/10 in fraction. To simplify 668/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 668 by 2 gives 334,
and dividing 10 by 2 gives 5. Thus, 668/10 simplifies to 334/5
Refer to the step by step work further to learn how to find what is 66.8 as a fraction in simple form.
step 1
Input values:
The decimal number = 66.8
What to be found:
What is 66.8 as a fraction in simplest form?
step 2 Write 66.8 as a simple fraction.
66.8/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 66.8/1.
Since the decimal 66.8 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 66.8/1 to make numerator as a whole number.
(66.8 x 10)/(1 x 10) = 668/10
step 4
668 tenths is the fraction form of 66.8, however, it can be reduced further. To simplify 668/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 668 and 10 cancel each other.
668/10 = (2 x 334)/(2 x 5)
= 334/5
668/10 = 334/5
Hence,
66.8 as a fraction is 334/5.
Converting decimals like 66.8 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 66.8 to fraction form. In this case, 66.8 can be recognized as 668 tenths. So, the fraction form of 66.8 is 668/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 668/10 in its simplest form.